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Finding the Fourth Proportional to 37,985.32, 56,978.10 and 11,689.90

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Solution

The fourth proportional to 37,985.32, 56,978.10 and 11,689.90 is: 17,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985.32 : 56,978.10 = 11,689.90 : x
  2. Step 2: Convert to fraction form
    37,985.32/56,978.10 = 11,689.90/x
  3. Step 3: Cross multiply
    37,985.32x = 56,978.10 × 11,689.90
  4. Step 4: Simplify right side
    37,985.32x = 666,068,291.19
  5. Step 5: Solve for x
    x = 666,068,291.19/37,985.32
  6. Step 6: Final answer
    x = 17,534.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.